For the matrix A, find (if possible) a nonsingular matrix P such that P-¹AP is diagonal. (If not possible, enter IMPOSSIBLE.) 8 A-[-2-4] = P = ↓ ↑ P-¹AP = - →>> Verify that P-¹AP is a diagonal matrix with the eigenvalues on the main diagonal.

For the matrix A, find (if possible) a nonsingular matrix P such that P-¹AP is diagonal. (If not possible, enter IMPOSSIBLE.) 8 A-[-2-4] = P = ↓ ↑ P-¹AP = - →>> Verify that P-¹AP is a diagonal matrix with the eigenvalues on the main diagonal.

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter7: Eigenvalues And Eigenvectors

Section7.CR: Review Exercises

Problem 66CR

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For the matrix A, find (if possible) a nonsingular matrix P such that P-¹AP is diagonal. (If not possible, enter IMPOSSIBLE.)
8
A-[-2-4]
=
P =
↓ ↑
P-¹AP =
-
→>>
Verify that P-¹AP is a diagonal matrix with the eigenvalues on the main diagonal.

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